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Finding the Fourth Proportional to 16,090,925,712.30, 24,136,388,568.46 and 16,090,925,712.30

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Solution

The fourth proportional to 16,090,925,712.30, 24,136,388,568.46 and 16,090,925,712.30 is: 24,136,388,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090,925,712.30 : 24,136,388,568.46 = 16,090,925,712.30 : x
  2. Step 2: Convert to fraction form
    16,090,925,712.30/24,136,388,568.46 = 16,090,925,712.30/x
  3. Step 3: Cross multiply
    16,090,925,712.30x = 24,136,388,568.46 × 16,090,925,712.30
  4. Step 4: Simplify right side
    16,090,925,712.30x = 388,376,835,418,296,745,984
  5. Step 5: Solve for x
    x = 388,376,835,418,296,745,984/16,090,925,712.30
  6. Step 6: Final answer
    x = 24,136,388,568.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.